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135485078401 is a prime number
BaseRepresentation
bin111111000101110001…
…0100011101110000001
3110221201012002002122201
41332023202203232001
54204433140002101
6142124015233201
712534306110401
oct1761342435601
9427635062581
10135485078401
1152505881782
1222311818801
13ca1239275a
1467b3b5a801
1537ce686e01
hex1f8b8a3b81

135485078401 has 2 divisors, whose sum is σ = 135485078402. Its totient is φ = 135485078400.

The previous prime is 135485078299. The next prime is 135485078461. The reversal of 135485078401 is 104870584531.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99089596225 + 36395482176 = 314785^2 + 190776^2 .

It is a cyclic number.

It is not a de Polignac number, because 135485078401 - 223 = 135476689793 is a prime.

It is not a weakly prime, because it can be changed into another prime (135485078461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 67742539200 + 67742539201.

It is an arithmetic number, because the mean of its divisors is an integer number (67742539201).

Almost surely, 2135485078401 is an apocalyptic number.

It is an amenable number.

135485078401 is a deficient number, since it is larger than the sum of its proper divisors (1).

135485078401 is an equidigital number, since it uses as much as digits as its factorization.

135485078401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 537600, while the sum is 46.

The spelling of 135485078401 in words is "one hundred thirty-five billion, four hundred eighty-five million, seventy-eight thousand, four hundred one".